Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless particles

2021 ◽  
Vol 54 (19) ◽  
pp. 195401
Author(s):  
Andrey G Cherstvy ◽  
Hadiseh Safdari ◽  
Ralf Metzler
Keyword(s):  
Anomalous Diffusion ◽  
Time Dependent ◽  
Massless Particles

scholarly journals Anomalous diffusion with absorption: Exact time-dependent solutions

2000 ◽  
Vol 61 (2) ◽  
pp. 1417-1422 ◽  
Author(s):  
German Drazer ◽  
Horacio S. Wio ◽  
Constantino Tsallis
Keyword(s):  
Anomalous Diffusion ◽  
Time Dependent ◽  
Exact Time

Anomalous Carbon Interdiffusion in a-Si:H/a-SiC:H Multilayers

1992 ◽  
Vol 258 ◽  
Author(s):  
R. Schwarz ◽  
T. Fischer ◽  
P. Hanesch ◽  
J. Lanz ◽  
W. Schirmacher ◽  
...  
Keyword(s):  
Theoretical Analysis ◽  
Time Dependence ◽  
Time Evolution ◽  
Power Law ◽  
Anomalous Diffusion ◽  
Hydrogen Diffusion ◽  
Amorphous Structure ◽  
Time Dependent ◽  
X Ray Diffraction ◽  
X Ray

ABSTRACTThe interdiffusion of carbon in a-Si:H and a-Si1-xCx:H multilayers is measured by analyzing the time evolution of the X-ray diffraction from the superlattices. A time dependent diffusivity D(t)which follows a power law is found. The theoretical analysis shows that such a time dependence, referred to as “dispersive” or “anomalous” diffusion and studied for hydrogen diffusion in the literature, is fundamentally related to the amorphous structure of the material.

Time dependent anomalous diffusion for flow in multi-fractal porous media

2005 ◽  
pp. 79-89 ◽  
Author(s):  
Frederico Furtado ◽  
James Glimm ◽  
Brent Lindquist ◽  
Felipe Pereira ◽  
Qiang Zhang
Keyword(s):  
Porous Media ◽  
Anomalous Diffusion ◽  
Time Dependent
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